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Monthly Archives: November 2024
When is ℒ(X) locally compact?
Let ℒ(X) be the dcpo of all lower semicontinuous maps from a space X to R+ ∪ {∞}. We give it the Scott topology. Under which conditions on X is it locally compact? We will see that this happens exactly … Continue reading
Posted in Uncategorized
Tagged consonance, countability, Hoare hyperspace, Scott topology, Smyth hyperspace
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